Holy Cross Mathematics and Computer Science
MATH 242, Principles of Analysis, Fall 2005
Syllabus and Schedule
Examples, Solutions, Class Notes, Etc.
Assignments
- Guidelines for problem sets
- Discussion 1 (.pdf file) Due: Monday, 9/5
- Problem Set 1 -- From Abbott: 1.2.1, 1.2.2, 1.2.3c, 1.2.6, 1.2.7, 1.2.10,
1.2.11. Due: Friday, 9/9
- Problem Set 2 -- From Abbott: 1.2.8, 1.3.2, 1.3.3, 1.3.4, 1.3.6, 1.3.7, 1.3.8,
1.3.9. Due: Friday, 9/16 Note: 1.4.4 and 1.4.5 have been postponed
until next week's problem set
- Problem Set 3 -- From Abbott: 1.4.4, 1.4.5, 2.2.1, 2.2.2, 2.2.3, 2.2.4, 2.2.6,
2.2.7, 2.2.8. Due: Monday, 9/26 note change
- Problem Set 4 -- From Abbott: 2.3.8, 2.4.2, 2.4.5, 2.5.3, 2.5.4, 2.5.6.
Due: Friday, 10/14
- Problem Set 5 (.pdf) Due: Friday, 10/21
- The problem set for next week will be a collaborative
assignment: Discussion 2. Due: Friday, 10/28
- Problem Set 6 -- From Abbott: 4.2.1, 4.2.3, 4.3.1, 4.3.2, 4.3.9, 4.3.12.
Due: Friday, 11/11.
- Problem Set 7 (.pdf) Due: Friday, 11/18
- Discussion 3 in class Monday, November 21.
- Extra Credit Problem Set 8 -- From Abbott: 5.3.3, 5.3.4, 7.2.2,
7.2.3, 7.2.4, 7.3.1, 7.3.4, 7.3.5, 7.4.2, 7.4.4.
Due: Tuesday, December 6.
Information and Announcements
- Revised Office Hours: MW 1-3 pm, TR, 11 - noon, F 9 - 10,
and by appointment.
- Final Exam: 2:30 - 5:30pm on Wednesday, December 14.
- Review Session: Monday, December 12, 7:30 pm - ? in Swords 328.
- Definitions you should know:
- the definition of a least upper bound for a set A
(sup(A)),
- the statement of the Axiom of Completeness
- the definition of a countable set
- the definition of convergence for a sequence
- the definition of a subsequence of a sequence
- the definition of convergence for an infinite series
- the definitions of absolute convergence and conditional convergence
for an infinite series
- the definition of functional limits (i.e. the precise meaning
of limx->c f(x) = L)
- the definition of continuity of f(x) at x = c.
- the definition of differentiability of f(x) at x = c.
- the definition of integrability of f(x) on [a,b].
Related Links
- Biographical information on Bernhard
Riemann
- Biographical information on Georg
Cantor
- Biographical information on Karl
Weierstrass
- Biographical information on Bernard
Bolzano
Downloading Information
The links for assignments and other handouts shown above lead in some cases
to documents in .pdf format. To read and print these, you will need to have
Adobe Acrobat Reader installed on your computer. This is available at no
cost from Adobe.
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Last modified: December 15, 2005